Weighted error estimates of the continuous interior penalty method for singularly perturbed problems

JOURNAL ARTICLE published 2 April 2008 in IMA Journal of Numerical Analysis

Authors: E. Burman | J. Guzman | D. Leykekhman

Error estimates for the finite-element solution of an elliptic singularly perturbed problem

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: LUTZ ANGERMANN

Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: Vertex-cell interpolation

JOURNAL ARTICLE published January 2018 in Applied Numerical Mathematics

Research funded by National Science Foundation of China (11771257) | Shandong Provincial Natural Science Foundation, China (ZR2017MA003) | A Project of Shandong Province Higher Educational Science and Technology Program (J17KA169) | National Science Foundation of China (11601251) | Shandong Provincial Natural Science Foundation, China (ZR2016AM13) | A Project of Shandong Province Higher Educational Science and Technology Program (J16LI10)

Authors: Jin Zhang | Xiaowei Liu

On diffusion-uniform error estimates for the DG method applied to singularly perturbed problems

JOURNAL ARTICLE published 1 April 2014 in IMA Journal of Numerical Analysis

Authors: V. Ku era

A posteriori error estimates for a dual finite element method for singularly perturbed reaction–diffusion problems

JOURNAL ARTICLE published March 2024 in BIT Numerical Mathematics

Research funded by National Science Foundation (DMS-2208289) | National Natural Science Foundation of China (12171025,NSAF-U2230402)

Authors: JaEun Ku | Martin Stynes

A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation

JOURNAL ARTICLE published January 2009 in SIAM Journal on Numerical Analysis

Authors: Erik Burman

Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes

JOURNAL ARTICLE published January 2015 in SIAM Journal on Numerical Analysis

Authors: Natalia Kopteva

Continuous Interior Penalty Finite Element Method for Oseen's Equations

JOURNAL ARTICLE published January 2006 in SIAM Journal on Numerical Analysis

Authors: Erik Burman | Miguel A. Fernández | Peter Hansbo

Superconvergence error estimates of discontinuous Galerkin time stepping for singularly perturbed parabolic problems

JOURNAL ARTICLE published July 2022 in Numerical Algorithms

Authors: Gautam Singh | Srinivasan Natesan

Continuous interior penalty stabilization for divergence-free finite element methods

JOURNAL ARTICLE published 3 April 2024 in IMA Journal of Numerical Analysis

Authors: Gabriel R Barrenechea | Erik Burman | Ernesto Cáceres | Johnny Guzmán

Uniform Error Estimates for an Exponentially Fitted Finite Element Method for Singularly Perturbed Elliptic Equations

JOURNAL ARTICLE published January 1999 in SIAM Journal on Numerical Analysis

Authors: W. Dörfler

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: GUANGFU SUN | MARTIN STYNE

Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: GUANGFU SUN | MARTIN STYNES

Computable Error Estimates for the Collocation Method Applied to Two-point Boundary Value Problems

JOURNAL ARTICLE published 1981 in IMA Journal of Numerical Analysis

Authors: B. M. HERBST | J. F. BOTHA

A penalty-free Nitsche method for the weak imposition of boundary conditions in compressible and incompressible elasticity

JOURNAL ARTICLE published April 2016 in IMA Journal of Numerical Analysis

Authors: Thomas Boiveau | Erik Burman

A Domain Decomposition Method Based on Weighted Interior Penalties for Advection‐Diffusion‐Reaction Problems

JOURNAL ARTICLE published January 2006 in SIAM Journal on Numerical Analysis

Authors: Erik Burman | Paolo Zunino

On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems

JOURNAL ARTICLE published 1995 in IMA Journal of Numerical Analysis

Authors: J. J. H. MILLER | E. O'RIORDAN | G. I. SHISHKIN

Optimal error estimates for the hp-version interior penalty discontinuous Galerkin finite element method

JOURNAL ARTICLE published 1 January 2005 in IMA Journal of Numerical Analysis

Authors: E. H. Georgoulis

Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method

JOURNAL ARTICLE published January 2013 in SIAM Journal on Numerical Analysis

Authors: Christian Waluga | Barbara Wohlmuth

Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control

JOURNAL ARTICLE published January 2013 in SIAM Journal on Numerical Analysis

Authors: Dmitriy Leykekhman | Boris Vexler